a rectangular field of dimension 20m × 15 m. two paths run to the parallel sides of rectangle through center of the fiel. The width of a longer path is 2 m and that of longer path is 2m and shorter path is 1m. Find
a) area of paths
b)area of remaing portion of the field
c) Cost of constructing the road at the rate of Rs. 10 per m
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- a rectangular field of dimension 20m × 15 m. two paths run to the parallel sides of rectangle through center of the fiel. The width of a longer path is 2 m and that of longer path is 2m and shorter path is 1m. Find
- a) area of paths
- b)area of remaing portion of the field
- c) Cost of constructing the road at the rate of Rs. 10 per m
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- please make it a brainliest answer.
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=> Length of the rectangular field L = 20 m
=> Breadth B = 15m
=> Area = L x B
=> 20 x 15 m²
=> Area of outer rectangle = 300 m²
=> Area of inner small rectangle = 19/2 x 13/2
=> 61.75 cm²
(a) => Area of the path = Area of the outer rectangle – Area of 4 inner small rectangles
=> (300 – 4(61.75))m²
=> (300 – 247) m²
=> 53 m²
∴ Area of the paths = 53 m²
(b) => Area of the remaining portion of the field = Area of the outer rectangle – Area of the paths
=> (300 – 53) m²
=> 247 m²
∴ Area of the remaining portion = 247 m²
(c) => Cost of constructing 1 m² road = Rs 10
∴ Cost of constructing 53 m² road = Rs 10 x 53
=> Rs 530
∴ Cost of constructing road = Rs 530
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